Pith Number

pith:4BB7AR7F

pith:2017:4BB7AR7FO6G7YXWZAWKUXA2IRX

not attested not anchored not stored refs pending

Mean-Field Controllability and Decentralized Stabilization of Markov Chains, Part II: Asymptotic Controllability and Polynomial Feedbacks

Karthik Elamvazhuthi, Shiba Biswal, Spring Berman

arxiv:1703.08515 v3 · 2017-03-24 · cs.SY · cs.RO · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BB7AR7FO6G7YXWZAWKUXA2IRX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:47:45.209456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e043f047e5778dfc5ed905954b83488df6ddfe61dd331a015d8a9c71822922f2

Aliases

arxiv: 1703.08515 · arxiv_version: 1703.08515v3 · doi: 10.48550/arxiv.1703.08515 · pith_short_12: 4BB7AR7FO6G7 · pith_short_16: 4BB7AR7FO6G7YXWZ · pith_short_8: 4BB7AR7F

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4BB7AR7FO6G7YXWZAWKUXA2IRX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e043f047e5778dfc5ed905954b83488df6ddfe61dd331a015d8a9c71822922f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f59bbea73d751cc6274798a09e67866ed7b6a75602fa8791cda5b90106020b",
    "cross_cats_sorted": [
      "cs.RO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2017-03-24T17:14:43Z",
    "title_canon_sha256": "14c5394777864157cafdc42340bcb8d7eb5927acf4c3c62aeb16d80871f9c530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08515",
    "kind": "arxiv",
    "version": 3
  }
}